262051161120 has 864 divisors, whose sum is σ = 1095411739968. Its totient is φ = 58974676992.

The previous prime is 262051161061. The next prime is 262051161149. The reversal of 262051161120 is 21161150262.

262051161120 is a `hidden beast` number, since 2 + 6 + 20 + 5 + 1 + 1 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×262051161120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127642014 + ... + 127644066.

It is an arithmetic number, because the mean of its divisors is an integer number (1267837662).

Almost surely, 2^262051161120 is an apocalyptic number.

262051161120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262051161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547705869984).

262051161120 is an abundant number, since it is smaller than the sum of its proper divisors (833360578848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

262051161120 is a wasteful number, since it uses less digits than its factorization.

262051161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 262051161120 in words is "two hundred sixty-two billion, fifty-one million, one hundred sixty-one thousand, one hundred twenty".